Math Problem-Solving Worksheet for 11-Year-Olds — Addition, Subtraction, Multiplication & Division (Grade 5/6)

Instructions

Read each problem carefully. Think about what the question is asking you to do. You may need to use more than one step to find the answer. Show your work in the space next to the problem if it helps you think. Write your final answer clearly.

1. A local cinema is showing a new movie. Adult tickets cost £12 and child tickets cost £8. A family of 2 adults and 3 children go to see the movie. If they pay with a £100 note, how much change will they receive?
   
   
   
   
2. A library receives a donation of 1,248 new books. The books are to be shared equally among 8 empty bookshelves. After filling the shelves, a librarian moves 25 books from the first shelf to a special display table. How many books are left on that first shelf?
   
   
   
   
3. For a school sports day, 180 students are divided into 15 equal teams. Each team needs to complete a relay race. If each student in a team runs 200 metres, what is the total distance the entire team runs in the relay?
   
   
   
   
4. You are saving money for a bicycle that costs £250. You already have £46 saved. If you earn £12 each week for doing chores, how many weeks will it take for you to save enough money to buy the bicycle?
   
   
   
   
5. A factory produces 450 toy cars every hour. The factory operates for 8 hours a day. The toy cars are then packed into boxes, with each box holding 30 cars. How many full boxes are packed in one day?
   
   
   
   
6. A baker starts the day with 30 kilograms of flour. He uses 12 kg to make bread and 9 kg to make cakes. He then receives a new delivery of 25 kg of flour. How many kilograms of flour does the baker have at the end of the day?
   
   
   
   

Answer Key

1. Step 1 (Adults' cost): 2 adults × £12 = £24
   Step 2 (Children's cost): 3 children × £8 = £24
   Step 3 (Total cost): £24 + £24 = £48
   Step 4 (Change): £100 - £48 = £52
   Answer: They will receive £52 in change.
2. Step 1 (Books per shelf): 1,248 books ÷ 8 shelves = 156 books per shelf
   Step 2 (Books left on first shelf): 156 books - 25 books = 131 books
   Answer: There are 131 books left on the first shelf.
3. Step 1 (Students per team): 180 students ÷ 15 teams = 12 students per team
   Step 2 (Total distance for one team): 12 students × 200 metres = 2,400 metres
   Answer: The total distance the team runs is 2,400 metres (or 2.4 kilometres).
4. Step 1 (Money still needed): £250 - £46 = £204
   Step 2 (Weeks to save): £204 ÷ £12 per week = 17 weeks
   Answer: It will take 17 weeks to save enough money.
5. Step 1 (Total cars per day): 450 cars/hour × 8 hours = 3,600 cars
   Step 2 (Number of boxes): 3,600 cars ÷ 30 cars/box = 120 boxes
   Answer: 120 full boxes are packed in one day.
6. Step 1 (Flour used): 12 kg + 9 kg = 21 kg
   Step 2 (Flour remaining before delivery): 30 kg - 21 kg = 9 kg
   Step 3 (Flour after delivery): 9 kg + 25 kg = 34 kg
   Answer: The baker has 34 kg of flour at the end of the day.